13230100011312 has 240 divisors, whose sum is σ = 40270203559872. Its totient is φ = 4037764792320.

The previous prime is 13230100011269. The next prime is 13230100011353. The reversal of 13230100011312 is 21311000103231.

13230100011312 is a `hidden beast` number, since 13 + 230 + 100 + 0 + 11 + 312 = 666.

It is a super-2 number, since 2×13230100011312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941168188 + ... + 941182244.

Almost surely, 2^{13230100011312} is an apocalyptic number.

13230100011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13230100011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20135101779936).

13230100011312 is an abundant number, since it is smaller than the sum of its proper divisors (27040103548560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13230100011312 is a wasteful number, since it uses less digits than its factorization.

13230100011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24516 (or 24507 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13230100011312 its reverse (21311000103231), we get a palindrome (34541100114543).

The spelling of 13230100011312 in words is "thirteen trillion, two hundred thirty billion, one hundred million, eleven thousand, three hundred twelve".